.TH "TESTING/EIG/dget51.f" 3 "Version 3.12.0" "LAPACK" \" -*- nroff -*- .ad l .nh .SH NAME TESTING/EIG/dget51.f .SH SYNOPSIS .br .PP .SS "Functions/Subroutines" .in +1c .ti -1c .RI "subroutine \fBdget51\fP (itype, n, a, lda, b, ldb, u, ldu, v, ldv, work, result)" .br .RI "\fBDGET51\fP " .in -1c .SH "Function/Subroutine Documentation" .PP .SS "subroutine dget51 (integer itype, integer n, double precision, dimension( lda, * ) a, integer lda, double precision, dimension( ldb, * ) b, integer ldb, double precision, dimension( ldu, * ) u, integer ldu, double precision, dimension( ldv, * ) v, integer ldv, double precision, dimension( * ) work, double precision result)" .PP \fBDGET51\fP .PP \fBPurpose:\fP .RS 4 .PP .nf DGET51 generally checks a decomposition of the form A = U B V' where ' means transpose and U and V are orthogonal\&. Specifically, if ITYPE=1 RESULT = | A - U B V' | / ( |A| n ulp ) If ITYPE=2, then: RESULT = | A - B | / ( |A| n ulp ) If ITYPE=3, then: RESULT = | I - UU' | / ( n ulp ) .fi .PP .RE .PP \fBParameters\fP .RS 4 \fIITYPE\fP .PP .nf ITYPE is INTEGER Specifies the type of tests to be performed\&. =1: RESULT = | A - U B V' | / ( |A| n ulp ) =2: RESULT = | A - B | / ( |A| n ulp ) =3: RESULT = | I - UU' | / ( n ulp ) .fi .PP .br \fIN\fP .PP .nf N is INTEGER The size of the matrix\&. If it is zero, DGET51 does nothing\&. It must be at least zero\&. .fi .PP .br \fIA\fP .PP .nf A is DOUBLE PRECISION array, dimension (LDA, N) The original (unfactored) matrix\&. .fi .PP .br \fILDA\fP .PP .nf LDA is INTEGER The leading dimension of A\&. It must be at least 1 and at least N\&. .fi .PP .br \fIB\fP .PP .nf B is DOUBLE PRECISION array, dimension (LDB, N) The factored matrix\&. .fi .PP .br \fILDB\fP .PP .nf LDB is INTEGER The leading dimension of B\&. It must be at least 1 and at least N\&. .fi .PP .br \fIU\fP .PP .nf U is DOUBLE PRECISION array, dimension (LDU, N) The orthogonal matrix on the left-hand side in the decomposition\&. Not referenced if ITYPE=2 .fi .PP .br \fILDU\fP .PP .nf LDU is INTEGER The leading dimension of U\&. LDU must be at least N and at least 1\&. .fi .PP .br \fIV\fP .PP .nf V is DOUBLE PRECISION array, dimension (LDV, N) The orthogonal matrix on the left-hand side in the decomposition\&. Not referenced if ITYPE=2 .fi .PP .br \fILDV\fP .PP .nf LDV is INTEGER The leading dimension of V\&. LDV must be at least N and at least 1\&. .fi .PP .br \fIWORK\fP .PP .nf WORK is DOUBLE PRECISION array, dimension (2*N**2) .fi .PP .br \fIRESULT\fP .PP .nf RESULT is DOUBLE PRECISION The values computed by the test specified by ITYPE\&. The value is currently limited to 1/ulp, to avoid overflow\&. Errors are flagged by RESULT=10/ulp\&. .fi .PP .RE .PP \fBAuthor\fP .RS 4 Univ\&. of Tennessee .PP Univ\&. of California Berkeley .PP Univ\&. of Colorado Denver .PP NAG Ltd\&. .RE .PP .PP Definition at line \fB147\fP of file \fBdget51\&.f\fP\&. .SH "Author" .PP Generated automatically by Doxygen for LAPACK from the source code\&.